3 papers
math.SG2025
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension
Rafael Fernandes, Brayan Ferreira
In this paper, we make use of elementary spectral invariants given by the max-min energy of pseudoholomorphic curves, recently defined by Michael Hutchings, to study periodic -d…
math.SG2025
Systolic inequalities on the sphere from symplectic embeddings
Brayan Ferreira
We use properties of symplectic capacities that were recently defined by Hutchings to obtain upper bounds on the minimal action of Reeb orbits on fiberwise star-shaped hypersurface…
math.SG2024
The number of periodic points of surface symplectic diffeomorphisms
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
We use symplectic tools to establish a smooth variant of Franks theorem for a closed orientable surface of positive genus ; it implies that a symplectic diffeomorphism isotopic…